Geometry

Question Analysis

This question focuses on applying the Triangle AA (Angle - Angle) Similarity Postulate. The key is to check if there are two pairs of congruent angles between and to determine if the triangles are similar.

 

Key Concept Explanation

The AA (Angle - Angle) Similarity Postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. Since the sum of the interior angles of a triangle is , when two pairs of angles are equal, the third pair is also equal.

 

Step - by - Step Solution

1. In , we know and . We can find using the angle - sum property of a triangle: .

In , and

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